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Author: W.M., III. Patterson
Publisher: Springer
ISBN: 3540384553
Category : Mathematics
Languages : en
Pages : 187
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Book Description
In this expository work we shall conduct a survey of iterative techniques for solving the linear operator equations Ax=y in a Hilbert space. Whenever convenient these iterative schemes are given in the context of a complex Hilbert space -- Chapter II is devoted to those methods (three in all) which are given only for real Hilbert space. Thus chapter III covers those methods which are valid in a complex Hilbert space except for the two methods which are singled out for special attention in the last two chapters. Specifically, the method of successive approximations is covered in Chapter IV, and Chapter V consists of a discussion of gradient methods. While examining these techniques, our primary concern will be with the convergence of the sequence of approximate solutions. However, we shall often look at estimates of the error and the speed of convergence of a method.
Author: W.M., III. Patterson
Publisher: Springer
ISBN: 3540384553
Category : Mathematics
Languages : en
Pages : 187
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Book Description
In this expository work we shall conduct a survey of iterative techniques for solving the linear operator equations Ax=y in a Hilbert space. Whenever convenient these iterative schemes are given in the context of a complex Hilbert space -- Chapter II is devoted to those methods (three in all) which are given only for real Hilbert space. Thus chapter III covers those methods which are valid in a complex Hilbert space except for the two methods which are singled out for special attention in the last two chapters. Specifically, the method of successive approximations is covered in Chapter IV, and Chapter V consists of a discussion of gradient methods. While examining these techniques, our primary concern will be with the convergence of the sequence of approximate solutions. However, we shall often look at estimates of the error and the speed of convergence of a method.
Author: Walter Mead Patterson
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 202
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Book Description
In this expository work we shall conduct a survey of iterative techniques for solving the linear operator equations Ax=y in a Hilbert space. Whenever convenient these iterative schemes are given in the context of a complex Hilbert space -- Chapter II is devoted to those methods (three in all) which are given only for real Hilbert space. Thus chapter III covers those methods which are valid in a complex Hilbert space except for the two methods which are singled out for special attention in the last two chapters. Specifically, the method of successive approximations is covered in Chapter IV, and Chapter V consists of a discussion of gradient methods. While examining these techniques, our primary concern will be with the convergence of the sequence of approximate solutions. However, we shall often look at estimates of the error and the speed of convergence of a method.
Author: W M III Patterson
Publisher: Springer
ISBN: 9783662190166
Category :
Languages : en
Pages : 196
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Book Description
Author: Michael Luther Hines
Publisher:
ISBN:
Category : Hilbert space
Languages : en
Pages : 168
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Book Description
Author: Walter Mead Patterson
Publisher:
ISBN:
Category :
Languages : de
Pages :
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Book Description
Author: Nikolaĭ Stepanovich Kurpelʹ
Publisher: American Mathematical Soc.
ISBN: 9780821815960
Category : Mathematics
Languages : en
Pages : 204
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Book Description
Author: M. Thamban Nair
Publisher: World Scientific
ISBN: 9812835652
Category : Mathematics
Languages : en
Pages : 264
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Book Description
Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be possible or may not be worth looking for due to physical constraints. In such situations, it is desirable to know how the so-called approximate solution approximates the exact solution, and what the error involved in such procedures would be. This book is concerned with the investigation of the above theoretical issues related to approximately solving linear operator equations. The main tools used for this purpose are basic results from functional analysis and some rudimentary ideas from numerical analysis. To make this book more accessible to readers, no in-depth knowledge on these disciplines is assumed for reading this book.
Author: Gordon Wassermann
Publisher:
ISBN: 9780387067940
Category : Categories (Mathematics)
Languages : en
Pages : 282
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Book Description
Author: MOHAMMED ZUHAIR ZAKI NASHED
Publisher:
ISBN:
Category :
Languages : en
Pages : 340
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Book Description
Author: Wolodymyr V. Petryshyn
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 140
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Book Description
